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What is the value of the angular velocity of the second hand of the clock on the wall? O A) 3600 degrees/s O B) 6 degrees/s C) 0 degrees/s D) 60 degrees/s

What is the value of the angular velocity of the second hand of the clock on the wall? O A) 3600 degrees/s O B) 6 degrees/s C) 0 degrees/s D) 60 degrees/s

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Understanding Angular Velocity **Question:** What is the value of the angular velocity of the second hand of the clock on the wall? **Options:** - **A)** 3600 degrees/s - **B)** 6 degrees/s - **C)** 0 degrees/s - **D)** 60 degrees/s ### Explanation The angular velocity of an object is the rate at which it rotates or revolves around a central point, measured in degrees per second (degrees/s) or radians per second (rad/s). For a clock, the second hand completes a full revolution of 360 degrees each minute. To find the angular velocity: 1. **Calculate the full rotation of the second hand:** It completes 360 degrees in 60 seconds. 2. **Divide the total degrees by the time in seconds:** \[ \text{Angular velocity} = \frac{360 \text{ degrees}}{60 \text{ seconds}} = 6 \text{ degrees/s} \] Thus, the correct answer is **B) 6 degrees/s**.
Transcribed Image Text:### Understanding Angular Velocity **Question:** What is the value of the angular velocity of the second hand of the clock on the wall? **Options:** - **A)** 3600 degrees/s - **B)** 6 degrees/s - **C)** 0 degrees/s - **D)** 60 degrees/s ### Explanation The angular velocity of an object is the rate at which it rotates or revolves around a central point, measured in degrees per second (degrees/s) or radians per second (rad/s). For a clock, the second hand completes a full revolution of 360 degrees each minute. To find the angular velocity: 1. **Calculate the full rotation of the second hand:** It completes 360 degrees in 60 seconds. 2. **Divide the total degrees by the time in seconds:** \[ \text{Angular velocity} = \frac{360 \text{ degrees}}{60 \text{ seconds}} = 6 \text{ degrees/s} \] Thus, the correct answer is **B) 6 degrees/s**.
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